Express the series as a rational function. n=1

Q: integrate the following:  Ue the U-substitution. ∫3/(√4x2-12x+9) dx

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Q: An isosceles triangle has one vertex at the origin, with its other two vertices above the origin and…

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Q: The rate of change dP of the number of wolves on an island is modeled by the following differential…

A: Let's find.

Q: Using a graphing calculator, estimate the real zeros, the relative maxima and minima, and the range…

A: Please see the answer below.

Q: Find the area bounded by the graphs of f(x)=x+2, g(x)=3x²+5 , x=-1 and x=1.

A: Explanation of the answer is as follows

Q: The shape of the Gateway Arch in St. Louis is approximately a parabola with a base and a height…

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Q: Find the area bounded by the graphs of f(x)=x+2,g(x)=3x²+5 , x=-1 and x=1.

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Q: Q6 Determine the surface area of the solid obtained by rotating y = V(2p – x)(2p + x), |x | < 2…

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Q: Find the total area of the region between the x-axis and the graph of y = - x´ - 3x, - 4 <x54.

A: Given query is to find the attached area of the region.

Q: A curve C is defined by the parametric equations x = 1– t2 y = t – t3 (a) Show that C has two…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: /3 n" +n + 10 8WE

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Q: Find the area in square units bounded 1) y2 = 4x, x=0 to x= 4

A: Area Bounded by the curves :   If x=f(y) and x= g(y) be two continuous function on a,b and f(y)…

Q: 10) y = A+ Cekt is a solution to the differential equation = k(y - A). a) True b) False

A: Solve the differential equation by separable differential mathod

Q: i. Comment whether the sequence is Converges or diverges. ii. Obtain the first five terms of that…

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Q: A general equation of conic section is given as y + 4x + 4(x – 2y) + k =0. Determine the value/s of…

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Q: 2. Let a, b e R and let f be the function Z + Z defined by f(z) - ar + b. For which values of a and…

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Q: 2. Determine the equation of the line perpendicular to the tangent line to the function f(x) = e' at…

A: We will find the equation of the line.

Q: A box with a square base and open top must have a volume of 4000 cm. Find the dimensions of the box…

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Q: 4. Find the total differential of z = In(x + y), x= w, y = w². By how much will z change if w…

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Q: 2x+5 (d)Using the method of Partial fractions find f dx x2-8x+7

A: Let's find.

Q: dy + y = y² sin x dx

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Q: Hiw/

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Q: A small radio transmitter broadcasts in a 53 mile radius. If you drive along a straight line from a…

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Q: The integral that represents the length of the .3/5 curve y = x5, where 1 < x < 3, is the following:…

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Q: Solve. 2x 20 x-6 The solution set is (Type your answer in interval notation. Use integers or…

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Q: dy J 1+y+1

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Q: Find the angle e between the vectors in radians and in degrees. u = cos()i + sin()i, v = cos( 31 )i…

A: Given,  u=cosπ3i+sinπ3j v=cos3π4i+sin3π4j Now, we know that  cosπ3=12 and sinπ3=32cos3π4=-12 and…

Q: f(-9) = 0 f(-1) = 0 f(2) = 2 f(4) = 4 f(6) = 3 lim f(x) =∞ lim f(x) =-∞ X--5+ lim f(x) = ∞ lim f(x)…

A: Concave up:(-∞, -5) : f''(x)&gt;0function is decreasing in (-∞, -9)f'(-9)=0and function is…

Q: A robotic machine fills containers with an acid solution at the rate of 150 + 4t milliliters (mL)…

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Q: 1 dx x2 V25 – x2

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Solve the right triangle. Round your answers to the nearest tenth. A = 0- D. 56 22 A

A: Given, Right triangle  theta=56° adjacent =a opposite =b hypotenuse = 22

Q: a²f If f(x, y) = xey + 8xy, then , is given by: O + 8 O 4xe4y + 8 ○ 웃+8 O 4e4y + 8 O None of these…

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Q: sin° (3x) cos* (3x)dx 4 COS

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Q: Let f(x) be a differentiable function with the graph of f'(x) shown below. What is the value of xf"…

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Q: Given z = sin(1 - 2). x = 2 – ts and y = 2t – s - then calculate when t = -1 and s = -1. dt

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Q: Find f'(1) for f(x) = In(v6x – 3).

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Q: a51 - Find ax2@y3 if f(x,y)-x.e z

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Q: Use double integrals to find the mass of the lamina ( thin Plate) which occupies the planar region…

A: To find:  The mass of the lamina which occupies the planar region bounded by the straight line…

Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is a(x) =…

A: Use the basic concepts of the average and marginal costs.

Q: A body moves along a horizontal line in accordance to s t + 9t2 + 24t. Find the total distance…

A: Given query is to find the distance traveled by the body

Q: Let f(r) = x³ on [0, 1] and let Pn be the arithmetic partition that splits [0, 1] into n equal…

A: Given

Q: Can you find the next term in the following sequences? 1. 7,7,7,7,7,... 2. 3,-3,3,-3,3,... 3. 1,5,2,…

A: According to Bartleby's policy we are allowed to solve only 3 subparts of a question. Apologies for…

Q: in a physiology class, a student must dissect three different specimens. The student can select one…

A: This question can be solved using the concept of combination.

Q: Show that, dF(x) (i) if F is absolutely continuous, then exists almost everywhere. dx (ii) a…

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Q: nt) Let I be the length of a diagonal of a rectangle Whose Sides Rave lengins If increases at a…

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Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

Q: The area of the surface generated by rotating the curve y = 2 + e*, where 1 < x < 2, about the…

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Q: 7) f(t)=e"(Acos(ßt)+B sin(ßt)) -at

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Q: Which one is one of the critical points of the function f(x, y) = 2x² + 2y + 8x – 4y + 11? Select…

A: for critical points, partial derivative should equal to 0.

Q: A. r(2000) B. r(2000) – r(1991) r2000 C. S1901 r(t)dt r(2000)–r(1991) D. 2000–1991 2000 E. S1991…

A: We have to match the expressions.